At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n = 304 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 254 had no visible scars after treatment. Another random sample of n, = 414 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p, be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p - P2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all negative? both positive and negative? At the 90% level of confidence, does treatment with plasma compresses seem to make a difference in the proportion of patients with visible scars from minor burns? O We can not make any conclusions using this confidence interval. O Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of patients with no visible scars among those who received the treatment. O Because the interval contains only negative numbers, we can say that there is a higher proportion of patients with no visible scars among those who did not receive the treatment. O Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received the treatment.
At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n = 304 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 254 had no visible scars after treatment. Another random sample of n, = 414 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p, be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p - P2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all negative? both positive and negative? At the 90% level of confidence, does treatment with plasma compresses seem to make a difference in the proportion of patients with visible scars from minor burns? O We can not make any conclusions using this confidence interval. O Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of patients with no visible scars among those who received the treatment. O Because the interval contains only negative numbers, we can say that there is a higher proportion of patients with no visible scars among those who did not receive the treatment. O Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received the treatment.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1
= 304 patients with minor burns received the plasma compress treatment. Of
these patients, it was found that 254 had no visible scars after treatment. Another random sample of n2
= 414 patients with minor burns received no plasma compress treatment. For this group, it was
found that 93 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let
P2
be
the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars.
(a) Find a 90% confidence interval for Pi – P2. (Round your answers to three decimal places.)
lower limit
upper limit
(b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all negative? both positive and
negative? At the 90% level of confidence, does treatment with plasma compresses seem to make a difference in the proportion of patients with visible scars from minor burns?
O We can not make any conclusions using this confidence interval.
Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of patients with no visible scars among those who received the
treatment.
Because the interval contains only negative numbers, we can say that there is a higher proportion of patients with no visible scars among those who did not receive the treatment.
Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received the treatment.
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